[PDF] Top 20 Existence for Korteweg de Vries type equation with delay
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Existence for Korteweg de Vries type equation with delay
... Due to physical reasons, Kato [8-10], Bona and Smith [11], Goldstein [12], Bourgain [13], Colliander et al. [14] among others, considered one-dimensional initial-value pro- blem of KdV equation, i.e., ... See full document
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Existence and stability of solitary waves for the generalized Korteweg-de Vries equations
... by Korteweg and de Vries in (cf. []). The existence and stability of solitary waves of the Korteweg-de Vries equation is considered by Benjamin in ...a ... See full document
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The method of lines solution of the Forced Korteweg-De Vries-Burgers equation (FKdVB)
... as delay differential equations (Koto, 2004), two-dimensional sine-Gordon equation (Bratsos, 2007), the Nwogu one-dimensional extended Boussinesq equation(Hamdi ...Boussinesq equation, the ... See full document
5
Martingale Solution to Stochastic Extended Korteweg de Vries Equation
... extended Korteweg-de Vries equation with multiplicative random ...the existence of martingale solution to stochastic KdV2 equation driven by cylindrical Wiener ... See full document
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Existence of periodic traveling wave solution to the forced generalized nearly concentric Korteweg de Vries equation
... concentric Korteweg-de Vries equation in the form of (u η + u/(2η) + [f (u)] ξ + u ξξξ ) ξ + u θθ /η 2 = h 0 ...this equation into a forced generalizedKadomtsev-Petviashvili ... See full document
7
Boundary linear stabilization of the modified generalized Korteweg–de Vries–Burgers equation
... (KdV) equation which was derived by Korteweg and de Vries to describe the dynam- ics of water waves ...KdV equation was also used to describe many phenomena such as modeling waves in a ... See full document
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Hirota bilinear computation of multi soliton solutions korteweg de vries equation
... The existence of solitary waves was first discovered by Scottish engineer, John Scott Russell in year 1834 (Miin, 2012). It is called as solitary waves as it often occurs as this single entity and is localized. He ... See full document
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Numerical solution of Korteweg de Vries Burgers equation by the compact type CIP method
... simulate Korteweg-de Vries Burgers ...the equation with spatial variable to construct a CIP scheme, and then resolution properties can also be ... See full document
9
The Korteweg-De Vries Equation and its Homologues: A Comparative Analysis II
... 2.3 Classi fication 33 2.4 Conclusion 36 CHAPTER THREE REVIEW OF THE KORTEWEG-DE VRIES EQUATION 38 3.1 Existence of solitary and periodic wave solutions 38 3.2 Stability of the solitary [r] ... See full document
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Well posedness of Korteweg De Vries Burgers equation on a Finite Domain
... The Korteweg-de Vries-Burgers equation is one of the typical examples incorporating the effects of dispersion, dissipation and ...the Korteweg-de Vries-Burgers ... See full document
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Solution of the forced korteweg de vries burgers nonlinear evolution equation
... KdVB equation tends to behave like the Burgers ...KdV type solution from the KdVB equation, we will let the viscosity so small ( ν = 0 ...KdV type solution using identical parameters given by ... See full document
15
Some traveling wave solutions of soliton family
... well-known Korteweg-de Vries (KdV) ...1895 Korteweg and deVries [2] showed that long waves, in water of relatively shallow depth, could be described approximately by a nonlinear ... See full document
15
Three dimensional Korteweg de Vries equation and traveling wave solutions
... KdV equation. The author first transforms this power equation to an equivalent ordinary differential equation under no extra ...the existence of a single soli- tary wave solution, that is C > ... See full document
6
PT-symmetric extensions of the supersymmetric Korteweg-de Vries equation
... Clearly with regard to these new models there are many interesting questions left to be explored. It remains to be settled whether these models possess non-trivial higher charges and if the conservation laws survive the ... See full document
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Solving Variable Coefficient Korteweg-de Vries Equation Using Pseudospectral Method
... KdV type such as KdV equation by Chan and Kerhoven (1985), Burgers equation by Ong et ...KdV-Burgers equation by Rashid (2006) and also Forced Perturbed KdV equation by Tay et ... See full document
8
PT-symmetric deformations of the Korteweg-de Vries equation
... in figure 2. For ε = 1 we perceive the real solution x − 4t = √ 2 arctan( ± √ v) in panel (a). A qualitatively similar type of solution is obtained for instance for some branches for ε = 5 as is seen also in panel ... See full document
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Symmetry properties of a generalized Korteweg de Vries equation and some explicit solutions
... the existence of a new type of soliton, which has been referred to as a compacton in certain quarters ...new type of soliton is independent of the ... See full document
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Approximate solution of forced korteweg-de vries equation
... The first evidence of the existence of such solitons was provided by the celebrated discovery of the upstream radiated waves by a Caltech fluid mechanics group led by Wu T.Y. in 1982 [3]. This phenomenon is given ... See full document
12
Remark on the well-posedness of weakly dispersive equations
... Vega, Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle , Commun.. Klein, and J.C.[r] ... See full document
10
Water waves and Integrability
... Following the idea of Johnson (2002), we can express the variables u, W , p as double-asymptotic expansion (in ε and δ) with terms, depending only on η(x, t) and explicitly on z. As a result, a single nonlinear ... See full document
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